Answer:

Step-by-step explanation:
Hello There!
We can solve for x using trigonometry
More specifically the law of sines
In the image you can see that a side length divided by sin(its opposite angle) is equal to another side length divided by sin(its opposite angle)
so to find x we use this equation

step 1 multiply each side by sin 59
now we have

so we can conclude that x = 14.6
Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so

solve for x


step 2
Find the measure of an exterior angle
2x
substitute the value of x

step 3
Find the measure of an interior angle
4x
substitute the value of x

In this problem the regular polygon is a hexagon
Answer:
1)
M: 15
T: 14
W: 19
Th: 20
F: 9
Sa: 9
Su: 5
2) 18 degrees
Step-by-step explanation:
The formula for finding the area of an equilateral triangle is
square root of 3 * (a^2/2)
a is the side length so in this case is 6
square root of 3 * (18)
the area is about 15.6